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65-XX Numerical analysis
65Txx Numerical methods in Fourier analysis
65T50 Discrete and fast Fourier transforms

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Linear transforms supporting circular convolution over a commutative ring with identity

Mohamed Mounir Nessibi (1995)

Commentationes Mathematicae Universitatis Carolinae

We consider a commutative ring $R$ with identity and a positive integer $N$ . We characterize all the 3-tuples $(L_{1}, L_{2}, L_{3})$ of linear transforms over $R^{N}$ , having the “circular convolution” property, i.eṡuch that $x * y = L_{3} (L_{1} (x) \otimes L_{2} (y))$ for all $x, y \in R^{N}$ .

Logarithm of the discrete Fourier transform.

Aristidou, Michael, Hanson, Jason (2007)

International Journal of Mathematics and Mathematical Sciences

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